The other sin of Sodom

When it comes to homosexuality, the Church has been accused of having a double standard.  The Church very clearly denounces homosexual behavior and defines marriage to be "between a man and a woman" (The Family).  And yet the Church has also reached out to LGBT (lesbian, gay, bisexual, transgender) individuals, especially recently with the website mormonsandgays.org.  It saddens me when I hear about members of the Church who have come out as LGBT and were immediately shunned or ridiculed by members of their own ward; people who should have been their friends.  It saddens me because I know that's not how the Savior would treat that person, and it's not how the General Authorities of the Church have taught that they should be treated.

The Question:
How does the Church teach that LGBT individuals should be treated?